Myers' type theorems and some related oscillation results
Differential Geometry
2014-10-09 v1 Classical Analysis and ODEs
Abstract
In this paper we study the behavior of solutions of a second order differential equation. The existence of a zero and its localization allow us to get some compactness results. In particular we obtain a Myers' type theorem even in the presence of an amount of negative curvature. The technique we use also applies to the study of spectral properties of Schroedinger operators on complete manifolds.
Keywords
Cite
@article{arxiv.1002.2076,
title = {Myers' type theorems and some related oscillation results},
author = {Paolo Mastrolia and Michele Rimoldi and Giona Veronelli},
journal= {arXiv preprint arXiv:1002.2076},
year = {2014}
}
Comments
16 pages